location parameter

A location test tests the simpler hypothesis that distributions have the same location parameter.

Examples of location parameters include the mean, the median, and the mode.

Some location parameters can be compared as follows:

In mathematical statistics, the pseudomedian is also a location parameter for probability distributions.

The one-sample location test compares the location parameter of one sample to a given constant.

The two-sample location test compares the location parameters of two samples to each other.

It is given by stating one is "ignorant" of the location parameter in a given problem.

Thus the uniform prior is justified for expressing complete ignorance of a location parameter.

A typical example is estimation of a location parameter with a loss function of the type .

In the next example we estimate the location parameter of the model, but not the scale: